Answer:
∠ K = 35° and ∠ L = 105°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
let ∠ K = x then ∠ L = 3x
Sum the angles and equate to 180
3x + x + 40 = 180, that is
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35
Thus
∠ K = 35° and ∠ K = 3x = 3 × 35 = 105°
Answer:
<h3> D) $276.26</h3>
Step-by-step explanation:
Deposited amount initially (P) = $250.
Rate of interest(r) = 2.5% compounded monthly = 0.025
Number of years (t) = 4.
Number of months in an year (n) = 12.
Formula for compound interest:
.
Plugging values in formula, we get



A=276.26.
<h3>Therefore, correct option is D) $276.26.</h3>
Answer:
C
Step-by-step explanation:
The n th term formula of a geometric sequence is
= a 
where a is the first term and r the common ratio
Using the second and fourth term, then
ar = 6 → (1)
ar³ = 54 → (2)
Divide (2) by (1)
=
= 9
r² = 9 ⇒ r =
= 3 → C
Answer:
n=6
Step-by-step explanation:
Given -> -2(n+5)+6n=14
Distributive Property -> -2n-10+6n=14
Combine like terms -> 4n-10=14
Add 10 to both sides -> 4n=24
Divide both sides by 4 -> n=6
So n=6
Which equation represents the line that passes through (–8, 11) and (4,7/2 )?
☆☆☆☆☆☆☆☆☆☆☆☆☆☆A. y =-5/8x + 6
B.y =-5/8 x + 16
C. y = -15/2x – 49
D. y =-15/2 x + 71